In this problem, we have two blocks initially at temperatures of 115°C (Block 1) and 147°C (Block 2). Given these initial temperatures, we are asked to determine which pair of temperatures is possible after a period of time.

Analysis

When two objects at different temperatures are in contact, heat will flow from the hotter object (Block 2 at 147°C) to the cooler one (Block 1 at 115°C) until thermal equilibrium is approached or reached. This means:

1. The temperature of Block 1 will increase.
2. The temperature of Block 2 will decrease.
3. The two blocks will move towards an intermediate temperature, which lies between the initial temperatures (115°C and 147°C).

So, we are looking for a pair of temperatures that:

• Shows Block 1 with a temperature greater than 115°C but less than 147°C.
• Shows Block 2 with a temperature less than 147°C but greater than 115°C.
• Both temperatures should ideally be closer together than the initial difference of 32°C.

Options

Analyzing each option:

1. 115°C (Block 1) and 125°C (Block 2): Block 1's temperature has not changed, which is unlikely since heat would flow to it.
2. 140°C (Block 1) and 122°C (Block 2): This option shows temperatures closer together, with Block 1’s temperature increasing and Block 2’s temperature decreasing. This is a plausible outcome as it shows a tendency toward thermal equilibrium.
3. 100°C (Block 1) and 132°C (Block 2): Block 1's temperature has decreased, which contradicts the expected direction of heat flow.
4. 131°C (Block 1) and 131°C (Block 2): This option shows the two blocks at the same temperature, indicating thermal equilibrium. This is also a plausible outcome, though it assumes complete thermal equilibrium.

Conclusion

The possible pairs are:

• 140°C (Block 1) and 122°C (Block 2): Partial progress toward equilibrium.
• 131°C (Block 1) and 131°C (Block 2): Full thermal equilibrium.

Most likely answer: 131°C for both blocks, as it represents complete equilibrium, which is a logical endpoint.

Would you like more details on heat flow or any other questions?

Follow-up Questions

1. What is thermal equilibrium, and why is it significant in heat transfer?
2. How would varying the material of each block affect the rate of heat transfer?
3. What is specific heat capacity, and how does it influence temperature changes?
4. How does the initial temperature difference impact the final temperature?
5. Why do materials with higher temperatures lose heat faster?

Tip: When analyzing heat transfer problems, always look for directional heat flow from warmer to cooler objects until they approach thermal equilibrium.